4x+3 J When solving for the second order derivative of f, it yields to f"(x) = X(Ax+B) Cx³ Suppose f(x) = -, where A, B, C are constants. What are the values of A, B, and C?

Q: 20. The fourth derivative of y = Jx -1 is 8 D.-은(x-1) 2 16 15 A. -(x – 1) В.- С.- 8. (X - 16 M| 00

A: This question is related to differentiation, we will use basic differention rules and results to…

Q: The function y(x) satisfies the equation 25x2-10y+1/2y2=25. What is the value of the second…

A: 25x2-10y+12y2=25 Differentiating with respect to x, we get…

Q: How do I find the derivative for this problem?  Am I on the right path?

A: The given function is

Q: 2.Find the derivative y=(x2+x+1)(³√x-2√x+ 6) y'=

A: Given; y=(x2+x+1)(³√x-2√x+ 6)

Q: how do you solve for the critical points of the first derivative of this function? x/4+x^2

A: Differentiating with respect to x, we get

Q: find the second derivative and simplify the final result. 5. e^(2x-y) = 2x-y

A: The given equation is, e2x-y=2x-y

Q: Find the derivative of the algebraic function.

A: To Find the derivative of the algebraic function. f(x)=x2+5x+6x2-4

Q: f(x) = 4x³ - 12x² + 36x 12. What is the value of the 2nd derivative of the

A:

Q: Find the absolute extrema of the function f(x) = (x + 16) 1/3 on the interval[-5,2]. Find the second…

A: To find  The absolute extremum of the given function.

Q: what is the derivative of y=e^-1/2x(C1cos3x+C2sin3x) and evaluate if x=0, y'=8

A:

Q: 1. Find the first derivative the function g(r) = 6x + 54x² + 90x. = (x),6 2. Find the second…

A: Given:- g(x) = 6x3 +54x2 +90x To find:- g'(x)  g''(x)  g''(-1)

Q: 3r²+7x What is the first derivative of f(x) = ln|

A:

Q: Find the derivative of the function. y =  x2 − 16 (x + 4)

A: Given, y=x2-16x+4

Q: Find the derivative. I+5 = (x) 6 12 + 2 Select one: 2 (z + 5) (-x² – 10z + 2) g' (z) 2,

A: Here we have g(x)=x+5x2+22

Q: 8. Find f'(x) where f(x) = 4x² - 3x + 11.

A:

Q: 3, g(æ) = (x? + 1)°(x² + 2)"

A: Explanation and solutions is given below....

Q: 3. f(x)=(2x^2)(3x^2-x+7) 4. f(x)=-3(2x+7)^5   Need to find the derivative.

A: 3. Given function is Differentiating with respect to x, by using product rule of differentiation…

Q: The derivative of x- 1 is -2 1 + A -2 1 B -2 1 C -2 +1+ D -2 1 + E

A: Let's find.

Q: Q.2. Find the Derivative 5 g(x)=12x4 -6/x+ a) g(x)=(x² – 5)(x³ +3) h)

A: Q.2 Find the derivative.a) gx=12x4-6x+5xb) gx=x2-5x3+3 Formulae to be used…

Q: (2+3t2 3x2 dx 1+ x3 6. Find the derivative of the function F(t) = 2-3t2

A:

Q: Find the derivative y’ Y = 1n (x^3 - 5x^2 + 7)

A:

Q: Can you help me step by step?

A: The given function is,

Q: 6. Find the second derivative, f"(x). (6) = f(x)

A: To find  The second derivative of f(x).

Q: hwo to find second derivative of 4e^3x - 9e^2x

A:

Q: Find the derivative of the function. f(x) =  4 (x2 − 9)4

A:

Q: Find second derivative  x⅓+y⅓=a⅓

A: Given,    x13 +y13 =a13

Q: Find the absolute extrema of the function f(x) =x* - 32x + 256 on the interval [- 5,5]. Find the…

A: To find: The absolute extremum of the given function

Q: I need help with finding the derivative.  y=(2x^2   +   1)^2   (x-1)^3

A: Given: y=2x2+12x-13 We know that ddxu.v=vdudx+udvdx…

Q: Find the first derivative: y=(3/2 x2-1/4 x )-2Arcsin(7x)

A:

Q: 2x3 = (3xy + 1)2 Implicit Derivative with Solution and Answer

A: Given : 2x3=(3xy+1)2   To Find : Implicit derivative

Q: Q#2. By definition find derivative of (2x+3)/4.

A:

Q: e3x-e-3x y - 23x+e-3X %3D

A: d2dx2e3x-e-3xe3x+e-3x=ddx12e3x+e-3x2=-243e3x-3e-3xe3x+e-3x3

Q: What is the derivative of P at the moment that x is 5 and P is 13 and derivative of X is 8 for the…

A: Differentiate the equation with respect to "t".

Q: Find the second derivative in its simplified form. y=(7x^3 + 3)^6

A:

Q: Determine the derivative -d/ 4 8 +³−1 - 17x y= y = 25 x-5 x+6

A:

Q: Find the anti-derivative of  s(x)=−7x2.  (Do not include the constant C in your answer.)

A:

Q: r*y" + 31?y" =1+r

A: Consider the provided D.E,

Q: 5x – 2 Find the second derivative of f(x) =x3/2 -1/4,

A:

Q: If g(u) = (u+1)/(4u-1), how do you find the derivative, g'(u), using the definition of derivative? I…

A:

Q: Find the 3rd derivative of the function y=f(x) given by the equation x2−y2=9. Solution.

A:

Q: a.) Given f(x) = 2x + 4, what is the value of f'(1)? b.) What is the derivative of f(x) = 4x + 5?

A: a) f(x)=2x+4b) f(x)=4x+5

Q: -4 - Find the derivative for the function f(x) = (5x−4+ 3x + 7) (8x−³ − 7x + 10) 5. Do not simplify…

A: Given, f(x)=5x-4+3x+78x-3-7x+105

Q: 5. Using quotient rule, find derivatives for the following functions. 8x +1 y = 2x ? +3 а. 4x? +1 b.…

A:

Q: II. Find the second derivative 1. y= 8x- 12x3 + 6x?-9 2. y = (4x-9)2

A:

Q: Find the second-order derivative of the following                   y = 10xe5x

A:

Q: What is the derivative of f( x = zi; = x 3 ? Or(-) = 3 F(=) f'( x Of(2) = 3= F(=) OF(2) = }ei OF(-)…

A: To find the derivative of f(x)=x2/3

Q: 2 We want to find the derivative of h(x) x2 4 + 6Vx. The first step is to rewrite each term of the -…

A:

Q: 4. Given the function y = 2x³ - 4x² + 5, find its derivative.

A: Differentiate with respect to x